(4r+2g)*(4r-2g)=

Solution for (4r+2g)*(4r-2g)= equation:

Simplifying
(4r + 2g)(4r + -2g) = 0

Reorder the terms:
(2g + 4r)(4r + -2g) = 0

Reorder the terms:
(2g + 4r)(-2g + 4r) = 0

Multiply (2g + 4r) * (-2g + 4r)
(2g * (-2g + 4r) + 4r * (-2g + 4r)) = 0
((-2g * 2g + 4r * 2g) + 4r * (-2g + 4r)) = 0

Reorder the terms:
((8gr + -4g2) + 4r * (-2g + 4r)) = 0
((8gr + -4g2) + 4r * (-2g + 4r)) = 0
(8gr + -4g2 + (-2g * 4r + 4r * 4r)) = 0
(8gr + -4g2 + (-8gr + 16r2)) = 0

Reorder the terms:
(8gr + -8gr + -4g2 + 16r2) = 0

Combine like terms: 8gr + -8gr = 0
(0 + -4g2 + 16r2) = 0
(-4g2 + 16r2) = 0

Solving
-4g2 + 16r2 = 0

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '-16r2' to each side of the equation.
-4g2 + 16r2 + -16r2 = 0 + -16r2

Combine like terms: 16r2 + -16r2 = 0
-4g2 + 0 = 0 + -16r2
-4g2 = 0 + -16r2
Remove the zero:
-4g2 = -16r2

Divide each side by '-4'.
g2 = 4r2

Simplifying
g2 = 4r2

Take the square root of each side:
g = {-2r, 2r}